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21913416 = 233474831
BaseRepresentation
bin101001110010…
…1111101001000
31112020022120000
41103211331020
521102212131
62101403000
7354155340
oct123457510
945208500
1021913416
1111407968
127409460
134703325
142ca5d20
151dccce6
hex14e5f48

21913416 has 80 divisors (see below), whose sum is σ = 70160640. Its totient is φ = 6259680.

The previous prime is 21913399. The next prime is 21913427. The reversal of 21913416 is 61431912.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 21913416.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2121 + ... + 6951.

It is an arithmetic number, because the mean of its divisors is an integer number (877008).

Almost surely, 221913416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21913416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35080320).

21913416 is an abundant number, since it is smaller than the sum of its proper divisors (48247224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21913416 is a wasteful number, since it uses less digits than its factorization.

21913416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4856 (or 4843 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 21913416 is about 4681.1767751282. The cubic root of 21913416 is about 279.8358561741.

The spelling of 21913416 in words is "twenty-one million, nine hundred thirteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 2268 4536 4831 9662 14493 19324 28986 33817 38648 43479 57972 67634 86958 101451 115944 130437 135268 173916 202902 260874 270536 304353 347832 391311 405804 521748 608706 782622 811608 913059 1043496 1217412 1565244 1826118 2434824 2739177 3130488 3652236 5478354 7304472 10956708 21913416